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Prime and composite numbers

Sort numbers into prime, composite or neither.

Practice + answer key · 2 pages

Worksheet settings12 questions · 2 columns · A4
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Choose the positive whole numbers you want to classify.

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mathsprig-1
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d4eed98a
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1 page
Prime and composite numbersPrime and composite numbers. Practice. Classify 6 as prime, composite, or neither. Classify 68 as prime, composite, or neither. Classify 46 as prime, composite, or neither. Classify 95 as prime, composite, or neither. Classify 8 as prime, composite, or neither. Classify 50 as prime, composite, or neither. Classify 13 as prime, composite, or neither. Classify 92 as prime, composite, or neither. Classify 41 as prime, composite, or neither. Classify 48 as prime, composite, or neither. Classify 67 as prime, composite, or neither. Classify 96 as prime, composite, or neither.Name __________________________Date _______________Prime and composite numbersWrite prime, composite or neither.Worked exampleClassify 21. → composite21 = 3 × 7.1.Classify 6 as prime, composite,or neither.2.Classify 68 as prime, composite,or neither.3.Classify 46 as prime, composite,or neither.4.Classify 95 as prime, composite,or neither.5.Classify 8 as prime, composite,or neither.6.Classify 50 as prime, composite,or neither.7.Classify 13 as prime, composite,or neither.8.Classify 92 as prime, composite,or neither.9.Classify 41 as prime, composite,or neither.10.Classify 48 as prime, composite,or neither.11.Classify 67 as prime, composite,or neither.12.Classify 96 as prime, composite,or neither.MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 1mathsprig-1 · mathsprig-v1 · d4eed98a
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Practice + answer key · 2 pages

Factors & multiples

What you’ll practice

Use a number’s positive factors to decide whether it is prime, composite or neither.

Count the positive factors. A prime has exactly two, a composite has more than two, and 1 has just one—so it belongs in neither group.

How this skill works

A prime number has exactly two distinct positive factors: 1 and itself. A composite number has an additional positive factor between them.

The number 1 has only one positive factor, so it is neither. The number 2 is prime even though it is even.

Worked example

Classify 21.
  1. 21 = 3 × 7.
  2. Because 3 and 7 are factors beyond 1 and 21, the number is composite.

Answer: composite

Teaching notes

  • Try small divisors before deciding that a number is prime.
  • Remember that odd does not mean prime.
Practice questions
  1. Classify 6 as prime, composite, or neither.
  2. Classify 68 as prime, composite, or neither.
  3. Classify 46 as prime, composite, or neither.
  4. Classify 95 as prime, composite, or neither.
  5. Classify 8 as prime, composite, or neither.
  6. Classify 50 as prime, composite, or neither.
  7. Classify 13 as prime, composite, or neither.
  8. Classify 92 as prime, composite, or neither.
  9. Classify 41 as prime, composite, or neither.
  10. Classify 48 as prime, composite, or neither.
  11. Classify 67 as prime, composite, or neither.
  12. Classify 96 as prime, composite, or neither.
Answers and steps
  1. composite
    1. 6 = 2 × 3, with both factors greater than 1, so it is composite.
  2. composite
    1. 68 = 2 × 34, with both factors greater than 1, so it is composite.
  3. composite
    1. 46 = 2 × 23, with both factors greater than 1, so it is composite.
  4. composite
    1. 95 = 5 × 19, with both factors greater than 1, so it is composite.
  5. composite
    1. 8 = 2 × 4, with both factors greater than 1, so it is composite.
  6. composite
    1. 50 = 2 × 25, with both factors greater than 1, so it is composite.
  7. prime
    1. The only positive factors of 13 are 1 and 13, so it is prime.
  8. composite
    1. 92 = 2 × 46, with both factors greater than 1, so it is composite.
  9. prime
    1. The only positive factors of 41 are 1 and 41, so it is prime.
  10. composite
    1. 48 = 2 × 24, with both factors greater than 1, so it is composite.
  11. prime
    1. The only positive factors of 67 are 1 and 67, so it is prime.
  12. composite
    1. 96 = 2 × 48, with both factors greater than 1, so it is composite.